The fully developed laminar heat transfer to modified power-law fluids flowing between parallel plates with one moving plate was analyzed taking into account the viscous dissipation of the flowing fluid. Applying the shear stress described by the modified power-law model, the energy equation together with the fully developed velocity profile is solved numerically for thermal boundary conditions of constant wall heat flux at one wall with the other insulated. The effects of the flow index, relative velocity of the moving plate, dimensionless shear rate parameter and Brinkman number on Nusselt numbers at the plate walls were discussed.